Scattering of Noncommutative Solitons in 2+1 Dimensions
Olaf Lechtenfeld, Alexander D. Popov
TL;DR
This paper presents an exact analysis of noncommutative soliton interactions in a 2+1 dimensional sigma model, constructing explicit solutions and illustrating bound states and scattering behaviors.
Contribution
It introduces an extended dressing method to explicitly solve noncommutative soliton equations and analyze their interactions in a modified U(n) sigma model.
Findings
Explicit time-dependent solutions for noncommutative solitons
Demonstration of bound states and right-angle scattering configurations
Extension of the dressing method for noncommutative field equations
Abstract
Interactions of noncommutative solitons in a modified U(n) sigma model in 2+1 dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit time-dependent solutions of its noncommutative field equation by iteratively solving linear equations. The approach is illustrated by presenting bound states and right-angle scattering configurations for two noncommutative solitons.
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